61054133145016 has 64 divisors (see below), whose sum is σ = 128393351222400. Its totient is φ = 26978019062400.

The previous prime is 61054133145001. The next prime is 61054133145041.

It is a happy number.

61054133145016 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61054133145016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37435731 + ... + 39032578.

It is an arithmetic number, because the mean of its divisors is an integer number (2006146112850).

Almost surely, 2^{61054133145016} is an apocalyptic number.

It is an amenable number.

61054133145016 is an abundant number, since it is smaller than the sum of its proper divisors (67339218077384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61054133145016 is a wasteful number, since it uses less digits than its factorization.

61054133145016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76468580 (or 76468576 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 61054133145016 in words is "sixty-one trillion, fifty-four billion, one hundred thirty-three million, one hundred forty-five thousand, sixteen".